11520144 has 60 divisors (see below), whose sum is σ = 33445776. Its totient is φ = 3838752.

The previous prime is 11520083. The next prime is 11520191. The reversal of 11520144 is 44102511.

11520144 is a `hidden beast` number, since 1 + 1 + 520 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2407 + ... + 5369.

Almost surely, 2^11520144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722888).

11520144 is an abundant number, since it is smaller than the sum of its proper divisors (21925632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11520144 is an equidigital number, since it uses as much as digits as its factorization.

11520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11520144 is about 3394.1337628326. The cubic root of 11520144 is about 225.8495879636.

Adding to 11520144 its reverse (44102511), we get a palindrome (55622655).

It can be divided in two parts, 11520 and 144, that added together give a square (11664 = 108²).

The spelling of 11520144 in words is "eleven million, five hundred twenty thousand, one hundred forty-four".